@phdthesis{Michel, author = {Michel, Ralf}, title = {Licht - Farbe - Licht : Zur Integration von Design und Technik in der Designforschung mit Licht und Farbe}, doi = {10.25643/bauhaus-universitaet.3794}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20180921-37941}, school = {Bauhaus-Universit{\"a}t Weimar}, pages = {224}, abstract = {Die Thesis untersucht am Beispiel von Farb-Licht Forschungen (Interaktion dynamischen Lichts mit farbigen Oberfl{\"a}chen) und der Designforschungen am Potenzial der organisch Licht emittierenden Dioden (OLED) integrierende Aspekte des Designs im Kontext dieser Technologien. Des weiteren reflektiert die Thesis am Beispiel dieser Designforschungen das Verh{\"a}ltnis von Designforschung und Innovation f{\"u}r die gestalterischen Disziplinen.}, subject = {Design}, language = {de} } @article{ChubukovKapitanovMoninaetal., author = {Chubukov, A. and Kapitanov, Valeriy and Monina, Olga and Silyanov, Valentin and Brannolte, Ulrich}, title = {Simulation of Regional Mortality Rate in Road Accidents}, series = {Transportation Research Procedia 20}, journal = {Transportation Research Procedia 20}, doi = {10.1016/j.trpro.2017.01.031}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170331-30956}, pages = {112 -- 124}, abstract = {The paper gives the results of scientific research, which, being based on probabilistic and statistical modeling, identifies the relationship of certain socio-economic factors and the number of people killed in road accidents in the Russian Federation regions. It notes the identity of processes in various fields, in which there is loss of life. Scientific methods and techniques were used in the process of data processing and study findings: systematic approach, methods of system analysis (algorithmization, mathematical programming) and mathematical statistics. The scientific novelty lies in the formulation, formalization and solving problems related to the analysis of regional road traffic accidents, its modeling taking into account the factors of socio-economic impact.}, subject = {Modellierung}, language = {en} } @article{ChubukovKapitanovMoninaetal., author = {Chubukov, A. and Kapitanov, Valeriy and Monina, Olga and Silyanov, Valentin and Brannolte, Ulrich}, title = {Calculation of Traffic Capacity of Signaled Intersections}, series = {Transportation Research Procedia 20}, journal = {Transportation Research Procedia 20}, doi = {10.1016/j.trpro.2017.01.032}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170401-30964}, pages = {125 -- 131}, abstract = {In order to calculate traffic capacity of signaled intersections, it was suggested to apply an approach based on the concept of congestions. The paper states examples of traffic capacity calculation.}, subject = {Verkehr}, language = {en} } @unpublished{SimonRitzRudolf, author = {Simon-Ritz, Frank and Rudolf, Sylvelin}, title = {Ein Schaufenster f{\"u}r die Kunst}, volume = {69}, number = {Heft 6}, doi = {10.25643/bauhaus-universitaet.3230}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170711-32307}, pages = {312 -- 317}, abstract = {Kunstausstellungen in Bibliotheken}, subject = {Ausstellung}, language = {de} } @article{MetznerSawitzky, author = {Metzner, Steffen and Sawitzky, Mareen}, title = {Priorisierung von Immobilienm{\"a}rkten mittels ELECTRE: Nutzung eines Outranking-Modells im taktischen Portfoliomanagement}, series = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, journal = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, doi = {10.1365/s41056-016-0017-y}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31516}, pages = {121 -- 144}, abstract = {In Zeiten volatiler Immobilienm{\"a}rkte und einer hohen Wettbewerbsintensit{\"a}t sind leistungsf{\"a}hige Systeme der Analyse und Entscheidungsunterst{\"u}tzung unverzichtbar. Entscheidungen zu Investitionsstrategien und Einzelinvestitionen basieren zumeist auf mehreren entscheidungsrelevanten Kriterien. Unterschiedliche immobilienwirtschaftliche Entscheidungsalternativen k{\"o}nnen dabei durchaus Kriterienauspr{\"a}gungen aufweisen, die eine bestimmte Alternative nicht als stets besser bzw. stets schlechter ausweisen. Klassische finanzwirtschaftliche Modelle oder verbreitete qualitative Verfahren wie das Scoring k{\"o}nnen die gegebene Komplexit{\"a}t meist nicht angemessen ber{\"u}cksichtigen. Eine Weiterentwicklung immobilienwirtschaftlicher Entscheidungsmodelle ist durch die {\"U}bertragung und Spezifizierung multikriterieller Verfahren der Entscheidungsunterst{\"u}tzung m{\"o}glich. Speziell die Untergruppe des Outranking besch{\"a}ftigt sich mit der schrittweisen Strukturierung, Ordnung und Priorisierung von komplexen Auswahlalternativen. Als spezifische immobilienwirtschaftliche Fragestellung dient hier die Auswahl und Priorisierung von Zielm{\"a}rkten im taktischen Portfoliomanagement eines institutionellen Immobilienportfoliosmit internationaler Ausrichtung. Die Formalisierung des Entscheidungsproblems „Priorisierung von Zielm{\"a}rkten" erfolgt mit dem ELECTRE-Verfahren.}, subject = {Portfoliomanagement}, language = {de} } @article{DaubeMetzner, author = {Daube, Dirk and Metzner, Steffen}, title = {Priorisierung von energetischen Maßnahmen in heterogenen Immobilienportfolios - Am Beispiel eines Bestandes der {\"o}ffentlichen Hand}, series = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, journal = {Zeitschrift f{\"u}r Immobilien{\"o}konomie}, doi = {10.1365/s41056-016-0011-4}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31332}, pages = {53 -- 79}, abstract = {In vielen {\"o}ffentlichen Geb{\"a}uden besteht ein hohes wirtschaftliches Einsparpotenzial bei den relevanten Energietr{\"a}gern W{\"a}rme und Strom. Projekte zur energetischen Optimierungen refinanzieren sich h{\"a}ufig nach wenigen Jahren. Die notwenigen Investitionsmittel stehen jedoch nur begrenzt zur Verf{\"u}gung. Zielgerichtete Analysen und Potenzialsch{\"a}tzungen sind erforderlich, um eine Priorisierung optionaler Maßnahmen zu erreichen. Die Studie zeigt anhand eines {\"o}ffentlichen Portfolios notwendige Untersuchungsschritte auf. Die Einzelpotenziale werden {\"u}ber geeignete Benchmarks ermittelt. Auf Portfolioebene werden u. a. spezifische Potenzial-Matrizen genutzt. Die kennzahlenbasierte Priorisierung von Maßnahmen ist umso wichtiger, je st{\"a}rker das Potenzial auf wenige Objekte konzentriert ist.}, subject = {{\"O}ffentlicher Sektor}, language = {de} } @article{MeunierWaltherWorsleyetal., author = {Meunier, David and Walther, Christoph and Worsley, Tom and Dahl, Alexander and Le Ma{\^i}tre, H{\´e}l{\`e}ne}, title = {Evolutions of the Reference Values Used in Transport CBA National Guidelines of 3 Countries and What they Reveal}, series = {Transportation Research Procedia 13}, journal = {Transportation Research Procedia 13}, doi = {10.1016/j.trpro.2016.05.011}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170406-31106}, pages = {100 -- 113}, abstract = {The paper presents, analyses and compares the evolution of reference values used in national guidelines issued for cost-benefit analysis of transport infrastructure projects, over the last fifty years, in France, UK and Germany.}, subject = {Verkehrsinfrastruktur}, language = {en} } @article{ThiriouxWehrmannLangbouretal., author = {Thirioux, Berangere and Wehrmann, Moritz and Langbour, Nicolas and Jaafari, Nematollah and Berthoz, Alain}, title = {Identifying One self with the Face of Someone Else Impairs the Egocentered Visuo-spatial Mechanisms: A New Double Mirror Paradigm to Study Self-Other Distinction and Interaction}, series = {FRONTIERS IN PSYCHOLOGY}, journal = {FRONTIERS IN PSYCHOLOGY}, doi = {10.3389/fpsyg.2016.01283}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170411-31150}, abstract = {Looking at our face in a mirror is one of the strongest phenomenological experiences of the Self in which we need to identify the face as reflected in the mirror as belonging to us. Recent behavioral and neuroimaging studies reported that self-face identification not only relies upon visual-mnemonic representation of ones own face but also upon continuous updating and integration of visuo-tactile signals. Therefore, bodily self-consciousness plays a major role in self-face identification, with respect to interplay between unisensory and multisensory processing. However, if previous studies demonstrated that the integration of multisensory body-related signals contributes to the visual processing of ones own face, there is so far no data regarding how self-face identification, inversely, contributes to bodily self-consciousness. In the present study, we tested whether selfother face identification impacts either the egocentered or heterocentered visuo-spatial mechanisms that are core processes of bodily self-consciousness and sustain selfother distinction. For that, we developed a new paradigm, named Double Mirror. This paradigm, consisting of a semi-transparent double mirror and computer-controlled Light Emitting Diodes, elicits selfother face merging illusory effect in ecologically more valid conditions, i.e., when participants are physically facing each other and interacting. Self-face identification was manipulated by exposing pairs of participants to an Interpersonal Visual Stimulation in which the reflection of their faces merged in the mirror. Participants simultaneously performed visuo-spatial and mental own-body transformation tasks centered on their own face (egocentered) or the face of their partner (heterocentered) in the pre- and post-stimulation phase. We show that selfother face identification altered the egocentered visuo-spatial mechanisms. Heterocentered coding was preserved. Our data suggest that changes in self-face identification induced a bottom-up conflict between the current visual representation and the stored mnemonic representation of ones own face which, in turn, top-down impacted bodily self-consciousness.}, subject = {Gesicht}, language = {en} } @article{Elrasoul, author = {Elrasoul, Riham}, title = {City Architectural Heritage Revival: The Need of a New Applied Approach}, series = {Procedia - Social and Behavioral Sciences 225}, journal = {Procedia - Social and Behavioral Sciences 225}, doi = {10.1016/j.sbspro.2016.06.021}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170401-30977}, pages = {216 -- 225}, abstract = {Egypt is a nation of 4000 years of civilization, which was known for its ancient architecture that occupied the highest rank of importance, but how long will our neglected heritage sites survive in our recent era? This is a rising debate. This paper is based on a hypothesis whether the conservation of the neglected or isolated heritage sites, particularly in the inhabited areas, can bind the citizens to their past. For this reason, the research provides scenes of many applied conservation practices in other countries. The study calls for developing a new applied approach of conservation that takes the interaction between citizens and the city heritage zones into consideration.}, subject = {Sozialisation}, language = {en} } @article{FrommholzHaiderMPotthastetal., author = {Frommholz, Ingo and Haider M., al-Khateeb and Potthast, Martin and Ghasem, Zinnar and Shukla, Mitul and Short, Emma}, title = {On Textual Analysis and Machine Learning for Cyberstalking Detection}, series = {Datenbank Spektrum}, journal = {Datenbank Spektrum}, doi = {10.1007/s13222-016-0221-x}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31352}, pages = {127 -- 135}, abstract = {Cyber security has become a major concern for users and businesses alike. Cyberstalking and harassment have been identified as a growing anti-social problem. Besides detecting cyberstalking and harassment, there is the need to gather digital evidence, often by the victim. To this end, we provide an overview of and discuss relevant technological means, in particular coming from text analytics as well as machine learning, that are capable to address the above challenges. We present a framework for the detection of text-based cyberstalking and the role and challenges of some core techniques such as author identification, text classification and personalisation. We then discuss PAN, a network and evaluation initiative that focusses on digital text forensics, in particular author identification.}, subject = {Text Mining}, language = {en} } @inproceedings{HoelterMahmoudiSchanz, author = {H{\"o}lter, Raoul and Mahmoudi, Elham and Schanz, Tom}, title = {OPTIMAL SENSOR LOCATION FOR PARAMETER IDENTIFICATION IN SOFT CLAY}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2800}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28008}, pages = {6}, abstract = {Performing parameter identification prior to numerical simulation is an essential task in geotechnical engineering. However, it has to be kept in mind that the accuracy of the obtained parameter is closely related to the chosen experimental setup, such as the number of sensors as well as their location. A well considered position of sensors can increase the quality of the measurement and to reduce the number of monitoring points. This Paper illustrates this concept by means of a loading device that is used to identify the stiffness and permeability of soft clays. With an initial setup of the measurement devices the pore water pressure and the vertical displacements are recorded and used to identify the afore mentioned parameters. Starting from these identified parameters, the optimal measurement setup is investigated with a method based on global sensitivity analysis. This method shows an optimal sensor location assuming three sensors for each measured quantity, and the results are discussed.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Grigor'ev, author = {Grigor'ev, Yuri}, title = {REGULAR QUATERNIONIC FUNCTIONS AND THEIR APPLICATIONS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2798}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27988}, pages = {6}, abstract = {The theory of regular quaternionic functions of a reduced quaternionic variable is a 3-dimensional generalization of complex analysis. The Moisil-Theodorescu system (MTS) is a regularity condition for such functions depending on the radius vector r = ix+jy+kz seen as a reduced quaternionic variable. The analogues of the main theorems of complex analysis for the MTS in quaternion forms are established: Cauchy, Cauchy integral formula, Taylor and Laurent series, approximation theorems and Cauchy type integral properties. The analogues of positive powers (inner spherical monogenics) are investigated: the set of recurrence formulas between the inner spherical monogenics and the explicit formulas are established. Some applications of the regular function in the elasticity theory and hydrodynamics are given.}, subject = {Angewandte Informatik}, language = {en} } @article{KonichNikitinKlimenkoetal., author = {Konich, Kira and Nikitin, Igor and Klimenko, Stanislav and Malofeev, Valery and Tyul'bashev, Sergey}, title = {Radio Astronomical Monitoring in Virtual Environment}, series = {Procedia Computer Science}, journal = {Procedia Computer Science}, doi = {10.1016/j.procs.2015.11.067}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31431}, pages = {592 -- 601}, abstract = {We present StarWatch, our application for real-time analysis of radio astronomical data in Virtual Environment. Serving as an interface to radio astronomical databases or being applied to live data from the radio telescopes, the application supports various data filters measuring signal-to-noise ratio (SNR), Doppler's drift, degree of signal localization on celestial sphere and other useful tools for signal extraction and classification. Originally designed for the database of narrow band signals from SETI Institute (setilive.org), the application has been recently extended for the detection of wide band periodic signals, necessary for the search of pulsars. We will also address the detection of week signals possessing arbitrary waveforms and present several data filters suitable for this purpose.}, subject = {Virtuelle Realit{\"a}t}, language = {en} } @inproceedings{MacedoBentaPicadoSantos, author = {Macedo, Joaquim Miguel and Benta, Agostinho and Picado-Santos, Luis}, title = {USE OF MICROSIMULATION IN THE ADAPTATION TO PORTUGAL OF THE HCM 2000 METHODOLOGY FOR BASIC FREEWAY SEGMENTS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2812}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28122}, pages = {7}, abstract = {Portugal is one of the European countries with higher spatial and population freeway network coverage. The sharp growth of this network in the last years instigates the use of methods of analysis and the evaluation of their quality of service in terms of the traffic performance, typically performed through internationally accepted methodologies, namely that presented in the Highway Capacity Manual (HCM). Lately, the use of microscopic traffic simulation models has been increasingly widespread. These models simulate the individual movement of the vehicles, allowing to perform traffic analysis. The main target of this study was to verify the possibility of using microsimulation as an auxiliary tool in the adaptation of the methodology by HCM 2000 to Portugal. For this purpose, were used the microscopic simulators AIMSUN and VISSIM for the simulation of the traffic circulation in the A5 Portuguese freeway. The results allowed the analysis of the influence of the main geometric and traffic factors involved in the methodology by HCM 2000. In conclusion, the study presents the main advantages and limitations of the microsimulators AIMSUN and VISSIM in modelling the traffic circulation in Portuguese freeways. The main limitation is that these microsimulators are not able to simulate explicitly some of the factors considered in the HCM 2000 methodology, which invalidates their direct use as a tool in the quantification of those effects and, consequently, makes the direct adaptation of this methodology to Portugal impracticable.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{MeierSchanz, author = {Meier, J{\"o}rg and Schanz, Tom}, title = {Benchmarking of Optimization Algorithms}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2813}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28134}, pages = {6}, abstract = {In this paper, we present an empirical approach for objective and quantitative benchmarking of optimization algorithms with respect to characteristics induced by the forward calculation. Due to the professional background of the authors, this benchmarking strategy is illustrated on a selection of search methods in regard to expected characteristics of geotechnical parameter back calculation problems. Starting from brief introduction into the approach employed, a strategy for optimization algorithm benchmarking is introduced. The benchmarking utilizes statistical tests carried out on well-known test functions superposed with perturbations, both chosen to mimic objective function topologies found for geotechnical objective function topologies. Here, the moved axis parallel hyper-ellipsoid test function and the generalized Ackley test function in conjunction with an adjustable quantity of objective function topology roughness and fraction of failing forward calculations is analyzed. In total, results for 5 optimization algorithms are presented, compared and discussed.}, subject = {Angewandte Informatik}, language = {en} } @article{WangArash, author = {Wang, Quan and Arash, Behrouz}, title = {Announcement of a virtual special issue on computational carbon nanoscience}, series = {Carbon}, journal = {Carbon}, doi = {10.1016/j.carbon.2015.05.082}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170428-31695}, pages = {370 -- 372}, abstract = {The Carbon journal is pleased to introduce a themed collection of recent articles in the area of computational carbon nanoscience. This virtual special issue was assembled from previously published Carbon articles by Guest Editors Quan Wang and Behrouz Arash, and can be accessed as a set in the special issue section of the journal website homepage: www.journals.elsevier.com/carbon. The article below by our guest editors serves as an introduction to this virtual special issue, and also a commentary on the growing role of computation as a tool to understand the synthesis and properties of carbon nanoforms and their behavior in composite materials.}, subject = {Kohlenstoff}, language = {en} } @inproceedings{KhristichAstapov, author = {Khristich, Dmitrii and Astapov, Yuri}, title = {VARIATIONAL POSITING AND SOLUTION OF COUPLED THERMOMECHANICAL PROBLEMS IN A REFERENCE CONFIGURATION}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2809}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28091}, pages = {6}, abstract = {Variational formulation of a coupled thermomechanical problem of anisotropic solids for the case of non-isothermal finite deformations in a reference configuration is shown. The formulation of the problem includes: a condition of equilibrium flow of a deformation process in the reference configuration; an equation of a coupled heat conductivity in a variational form, in which an influence of deformation characteristics of a process on the temperature field is taken into account; tensor-linear constitutive relations for a hypoelastic material; kinematic and evolutional relations; initial and boundary conditions. Based on this formulation several axisymmetric isothermal and coupled problems of finite deformations of isotropic and anisotropic bodies are solved. The solution of coupled thermomechanical problems for a hollow cylinder in case of finite deformation showed an essential influence of coupling on distribution of temperature, stresses and strains. The obtained solutions show the development of stressstrain state and temperature changing in axisymmetric bodies in the case of finite deformations.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Vieira, author = {Vieira, Nelson}, title = {SOME RESULTS IN FRACTIONAL CLIFFORD ANALYSIS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2825}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28256}, pages = {6}, abstract = {What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well describe problems of a particle with internal SU(2)-symmetries, higher order symmetries are beyond this theory. Although many modifications (such as Yang-Mills theory) were suggested over the years they could not address the principal problem, the need of a n-fold factorization of the d'Alembert operator. In this paper we present the basic tools of a fractional function theory in higher dimensions, for the transport operator (alpha = 1/2 ), by means of a fractional correspondence to the Weyl relations via fractional Riemann-Liouville derivatives. A Fischer decomposition, fractional Euler and Gamma operators, monogenic projection, and basic fractional homogeneous powers are constructed.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{FerreiraVieira, author = {Ferreira, Milton dos Santos and Vieira, Nelson}, title = {EIGENFUNCTIONS AND FUNDAMENTAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN IN 3 DIMENSIONS}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2796}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27968}, pages = {6}, abstract = {Recently there has been a surge of interest in PDEs involving fractional derivatives in different fields of engineering. In this extended abstract we present some of the results developedin [3]. We compute the fundamental solution for the three-parameter fractional Laplace operator Δ by transforming the eigenfunction equation into an integral equation and applying the method of separation of variables. The obtained solutions are expressed in terms of Mittag-Leffer functions. For more details we refer the interested reader to [3] where it is also presented an operational approach based on the two Laplace transform.}, subject = {Angewandte Informatik}, language = {en} } @inproceedings{Musial, author = {Musial, Michal}, title = {THE INFLUENCE OF CRACKS AND OVERESTIMATION ERRORS ON THE DEFLECTION OF THE REINFORCED CONCRETE BEAMS IN THE RIGID FINITE ELEMENT METHOD}, series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar}, editor = {G{\"u}rlebeck, Klaus and Lahmer, Tom}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2814}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28142}, pages = {6}, abstract = {This article presents the Rigid Finite Element Method in the calculation of reinforced concrete beam deflection with cracks. Initially, this method was used in the shipbuilding industry. Later, it was adapted in the homogeneous calculations of the bar structures. In this method, rigid mass discs serve as an element model. In the flat layout, three generalized coordinates (two translational and one rotational) correspond to each disc. These discs are connected by elastic ties. The genuine idea is to take into account a discrete crack in the Rigid Finite Element Method. It consists in the suitable reduction of the rigidity in rotational ties located in the spots, where cracks occurred. The susceptibility of this tie results from the flexural deformability of the element and the occurrence of the crack. As part of the numerical analyses, the influence of cracks on the total deflection of beams was determined. Furthermore, the results of the calculations were compared to the results of the experiment. Overestimations of the calculated deflections against the measured deflections were found. The article specifies the size of the overestimation and describes its causes.}, subject = {Angewandte Informatik}, language = {en} }